Let's first simplify the expression step by step:
So, the numerator becomes: 3072 + 3584 = 6656
13 8^4 can be written as 13 (2^3)^4 = 13 2^12 = 13 4096 = 53248
The denominator becomes: 53248^2 = 2831153664
Finally, the expression simplifies to: 6656 / 2831153664 ≈ 0.00000235459
Let's first simplify the expression step by step:
3 2^20 can be written as 3 2^(210) = 3 2^10 = 3 * 1024 = 30727 2^9 = 7 512 = 3584So, the numerator becomes: 3072 + 3584 = 6656
13 8^4 can be written as 13 (2^3)^4 = 13 2^12 = 13 4096 = 53248
The denominator becomes: 53248^2 = 2831153664
Finally, the expression simplifies to: 6656 / 2831153664 ≈ 0.00000235459